92496096 has 288 divisors, whose sum is σ = 339026688. Its totient is φ = 23224320.

The previous prime is 92496083. The next prime is 92496101. The reversal of 92496096 is 69069429.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953520 + ... + 953616.

It is an arithmetic number, because the mean of its divisors is an integer number (1177176).

Almost surely, 2^92496096 is an apocalyptic number.

92496096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169513344).

92496096 is an abundant number, since it is smaller than the sum of its proper divisors (246530592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

92496096 is a wasteful number, since it uses less digits than its factorization.

92496096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 92496096 is about 9617.4890693985. The cubic root of 92496096 is about 452.2457222418.

It can be divided in two parts, 924 and 96096, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 92496096 in words is "ninety-two million, four hundred ninety-six thousand, ninety-six".